47745120 has 48 divisors (see below), whose sum is σ = 150398640. Its totient is φ = 12731904.

The previous prime is 47745109. The next prime is 47745121. The reversal of 47745120 is 2154774.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47745121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49255 + ... + 50214.

It is an arithmetic number, because the mean of its divisors is an integer number (3133305).

Almost surely, 2^47745120 is an apocalyptic number.

47745120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47745120 is an abundant number, since it is smaller than the sum of its proper divisors (102653520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47745120 is a wasteful number, since it uses less digits than its factorization.

47745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99487 (or 99479 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 47745120 is about 6909.7843671131. The cubic root of 47745120 is about 362.7797159344.

Adding to 47745120 its reverse (2154774), we get a palindrome (49899894).

The spelling of 47745120 in words is "forty-seven million, seven hundred forty-five thousand, one hundred twenty".